Defining Percentages Using Ratios

This video tutorial explains the concept of ratios and how they relate to percents. It begins by defining ratios, particularly part-to-total ratios, and demonstrates how to simplify them. The lesson then transitions to percents, clarifying that a percent is a specific type of ratio where the total is always 100. The tutorial emphasizes the importance of understanding that 60% is not the same as the number 60, and provides examples of how to express and simplify percent ratios. By the end of the lesson, viewers will understand how to define percents using ratios and simplify them effectively.

What is a part-to-total ratio?

• A comparison of two unrelated quantities

• A ratio where one part is compared to the whole

• A ratio that only uses whole numbers

• A ratio that cannot be simplified

Which of the following is NOT a correct way to express the ratio of 1 pink sweater to 5 total sweaters?

• 1/5

• 1 to 5

• 1:5

• 5 to 1

What does the 'cent' in 'percent' refer to?

• 1000

• 100

• 50

• 10

How can 60% be expressed as a ratio?

• 60 to 50

• 60 to 10

• 60 to 100

• 6 to 10

If 60% of cars are blue, which of the following is an equivalent expression?

• 60 out of 50 cars are blue

• 3 out of 5 cars are blue

• 6 out of 10 cars are blue

• 30 out of 100 cars are blue